Mathematical Sciences: Studies in Discontinuous Groups and Conformal Geometry

数学科学：不连续群和共形几何研究

• 批准号: 8902214
• 负责人: Ravi Kulkarni
• 金额: $ 1.9万
• 依托单位: CUNY Queens College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-06-01 至 1991-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8902214&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Studies; Discontinuous; Groups

The principal investigator will continue his studies of Kleinian groups, 3-dimensional geometry and topology, and discontinuous groups. A special investigation will be conducted into Mobius structures, geodesic laminations, lattices on trees, surface symmetries, and certain fundamental domains. The project will encompass mathematical techniques from group theory as well as a number of more standard geometric techniques. A group is an abstract mathematical object. The integers are an example of a group because one can always reverse the order of addition without changing the answer, there is a zero, subtraction is always possible, and additions may be freely associated.

首席研究员将继续他对克莱因群、三维几何和拓扑以及不连续群的研究。 将对莫比乌斯结构、测地线叠层、树上的晶格、表面对称性和某些基本域进行专门研究。 该项目将涵盖群论的数学技术以及许多更标准的几何技术。 群是一个抽象的数学对象。 整数是群的一个例子，因为人们总是可以颠倒加法的顺序而不改变答案，有一个零，减法总是可能的，并且加法可以自由关联。